How many metallic spheres, each of diameter 3 cm, should be melted to mould into a solid cylinder of diameter 4 cm and height 54 cm?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 48
Let the n metallic sphere be melted
According to the question
The volume of the metallic sphere = The volume of the solid cylinder
n × 4/3 π r³ = πr2h
n × 4/3 (3/2)3 = 22 × 54
n × 9/2 = 4 × 54 = 216
n = 48